涩里番

Title: Random subgraphs of the mapping class group.

Abstract: In percolation theory, one samples a random subgraph of a given graph by independently deleting each edge with probability 1-p. Benjamini and Schramm asked if a Cayley graph is nonamenable if and only if there exists a number p such that the random p-subgraph has infinitely many unbounded components. In this talk, I will explain an answer to this conjecture for the mapping class group and irreducible cubical groups. This is joint work with Donggyun Seo.

We will gather in the lounge for teatime after the talk, and then we will go for dinner with Inhyeok.